Journal of Siberian Federal University. Mathematics & Physics / Hardware Architectures of the QR-Decomposition Based on a Givens Rotation Technique

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (5)
Authors
Sokolovskiy, Alexey V.; Veisov, Evgeny A.; Tyapkin, Valery N.; Dmitriev, Dmitry D.
Contact information
Sokolovskiy, Alexey V.: Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Veisov, Evgeny A.: Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Tyapkin, Valery N.: Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Dmitriev, Dmitry D.: Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
Keywords
QR-decomposition; FPGA; CORDIC algorithm; approximation function; fixed-point arithmetic
Abstract

The fixed-point hardware architecture of the QR decomposition is constrained by a several issues that leads to decrease of a compute accuracy depending on a matrix size. In this article described the hardware architectures based on CORDIC algorithm and approximation functions. As a basis technique is used a Givens rotation technique, because it is a most suitable technique for hardware implementation

Pages
606–613
DOI
10.17516/1997-1397-2019-12-5-606-613
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/125647